Results 61 to 70 of about 65,756 (223)
Commentarii Mathematici Helvetici, 2004 Consider an associative algebra of differential operators in \(n\) indeterminates (with smooth or polynomial coefficients) with respect to composition. Its subspace \(W(n)\) of vector fields (i.e. first-order differential operators) constitutes a famous Lie algebra of general Cartan type with respect to commutator.
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Exact Solutions of Linear Multiple Delay Partial Differential Equations
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
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International Journal of Mathematics and Mathematical Sciences, 1994 Let R be a ring, and let C denote the center of R. R is said to have a prime center if whenever ab belongs to C then a belongs to C or b belongs to C. The structure of certain classes of these rings is studied, along with the relation of the notion of ...
Hazar Abu-Khuzam, Adil Yaqub
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Journal of Algebra, 2003 The purpose of this paper is to study finite-dimensional Lie algebras over a field k of characteristic zero which admit a commutative polarization (CP). Among the many results and examples, it is shown that, if k is algebraically closed, the nilradical N of a parabolic subalgebra in A_n and C_n has such a CP.
ELASHVILI, Alexander, OOMS, Alfons
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A Resource Efficient Ising Model‐Based Quantum Sudoku Solver
Software: Practice and Experience, EarlyView.ABSTRACT Background Quantum algorithms exploit superposition and parallelism to address complex combinatorial problems, many of which fall into the non‐polynomial (NP) class. Sudoku, a widely known logic‐based puzzle, is proven to be NP‐complete and thus presents a suitable testbed for exploring quantum optimization approaches.
Wen‐Li Wang +5 more
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MATHEMATICA SCANDINAVICA, 1988 Let \({\mathcal B}\) be a Banach space, \(\sigma\) a \(C_ 0\)-group of isometries of \({\mathcal B}\) with generator \(H\), and \({\mathcal D}\subseteq D(H)\) a \(\sigma\)-invariant core of \(H\). Suppose \(K:{\mathcal D}\to {\mathcal B}\) is a dissipative operator satisfying \[ 1.\quad \| Ka\| \leq k_ 0(\| Ha\| \vee \| a\|),\quad a\in {\mathcal D}, \]
Batty, Charles J.K., Robinson, Derek W.
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Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
Systems Research and Behavioral Science, EarlyView.ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
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Some metric characterizations of commutativity in C*-algebras [PDF]
Surveys in Mathematics and its ApplicationsWe study Le Page's theorem in the context of C*-algebras and obtain several characterizations of commutativity and centrality implied by identities or inequalities satisfied by the norm.
Florin Pop
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Lie Ideals and Homoderivations in Semiprime Rings
MathematicsLet S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi +4 more
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Commuting decomposition of Kn1,n2,...,nk through realization of the product A(G)A(GPk )
Special Matrices, 2018 In this paper, we introduce the notion of perfect matching property for a k-partition of vertex set of given graph. We consider nontrivial graphs G and GPk , the k-complement of graph G with respect to a kpartition of V(G), to prove that A(G)A(GPk ) is ...
Bhat K. Arathi, Sudhakara G.
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